
Level set learning with pseudoreversible neural networks for nonlinear dimension reduction in function approximation
Due to the curse of dimensionality and the limitation on training data, ...
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A Comparison of Neural Network Architectures for DataDriven ReducedOrder Modeling
The popularity of deep convolutional autoencoders (CAEs) has engendered ...
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Unconditionally stable exponential time differencing schemes for the massconserving AllenCahn equation with nonlocal and local effects
It is well known that the classic AllenCahn equation satisfies the maxi...
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HighOrder Multirate Explicit TimeStepping Schemes for the BaroclinicBarotropic Split Dynamics in Primitive Equations
In order to treat the multiple time scales of ocean dynamics in an effic...
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Learning Green's Functions of Linear ReactionDiffusion Equations with Application to Fast Numerical Solver
Partial differential equations are often used to model various physical ...
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Nonlinear Level Set Learning for Function Approximation on Sparse Data with Applications to Parametric Differential Equations
A dimension reduction method based on the "Nonlinear Level set Learning"...
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DANNet: A OneStage Domain Adaptation Network for Unsupervised Nighttime Semantic Segmentation
Semantic segmentation of nighttime images plays an equally important rol...
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Stabilized integrating factor RungeKutta method and unconditional preservation of maximum bound principle
Maximum bound principle (MBP) is an important property for a large class...
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Maximum bound principle preserving integrating factor RungeKutta methods for semilinear parabolic equations
A large class of semilinear parabolic equations satisfy the maximum boun...
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Maximum bound principles for a class of semilinear parabolic equations and exponential time differencing schemes
The ubiquity of semilinear parabolic equations has been illustrated in t...
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A diagonal sweeping domain decomposition method with trace transfer for the Helmholtz equation
In this paper, the diagonal sweeping domain decomposition method (DDM) f...
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A diagonal sweeping domain decomposition method with source transfer for the Helmholtz equation
In this paper, we propose a novel diagonal sweeping domain decomposition...
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Conservative numerical schemes with optimal dispersive wave relations – Part II. Numerical evaluations
A new energy and enstrophy conserving scheme is evaluated using a suite ...
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Interactive Binary Image Segmentation with Edge Preservation
Binary image segmentation plays an important role in computer vision and...
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Lili Ju
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